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34165445343 = 3174726995281
BaseRepresentation
bin11111110100011010…
…110101001011011111
310021012001022110011120
4133310122311023133
51024432323222333
623410112022023
72316436331241
oct376432651337
9107161273146
1034165445343
1113542559847
126755b31913
1332b6362963
141921748091
15d4e67edb3
hex7f46b52df

34165445343 has 32 divisors (see below), whose sum is σ = 49287398400. Its totient is φ = 20969287680.

The previous prime is 34165445341. The next prime is 34165445351. The reversal of 34165445343 is 34354456143.

It is not a de Polignac number, because 34165445343 - 21 = 34165445341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34165445295 and 34165445304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34165445341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6466863 + ... + 6472143.

It is an arithmetic number, because the mean of its divisors is an integer number (1540231200).

Almost surely, 234165445343 is an apocalyptic number.

34165445343 is a deficient number, since it is larger than the sum of its proper divisors (15121953057).

34165445343 is a wasteful number, since it uses less digits than its factorization.

34165445343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8047.

The product of its digits is 1036800, while the sum is 42.

The spelling of 34165445343 in words is "thirty-four billion, one hundred sixty-five million, four hundred forty-five thousand, three hundred forty-three".

Divisors: 1 3 17 47 51 141 799 2397 2699 5281 8097 15843 45883 89777 126853 137649 248207 269331 380559 744621 2156501 4219519 6469503 12658557 14253419 42760257 242308123 669910693 726924369 2009732079 11388481781 34165445343